Problem 20 · 2020 Math Kangaroo
Stretch
Spatial & Visual Reasoning
Geometry & Measurement
shadows-projections
Maria pours 4 litres of water into vase I, 3 litres into vase II and 4 litres into vase III, as shown. Seen from the front, the three vases look the same size. Which of the following pictures can show the three vases seen from above?
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Answer: A
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Hint 1 of 2
Same water heights from the front but different amounts means the vases have different base areas.
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Hint 2 of 2
Vase II holds less (3 L vs 4 L) at the same height, so II has the smaller top - match the top-view sizes.
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Approach: use volume = base area x height to rank the tops
- From the front the vases look the same size, so the shown heights reflect base area, not real width.
- Vases I and III hold 4 L and II holds 3 L; with the heights shown, the top-view areas differ accordingly.
- The top view giving I and III equal larger tops and II a smaller top is option A.
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